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Quantum states of a generalized time-dependent inverted harmonic oscillator

I. A. Pedrosa·I. Guedes
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Abstract

We discuss the extension of the Lewis and Riesenfeld method of solving the time-dependent Schrödinger equation to cases where the invariant has continuous eigenvalues and apply it to the case of a generalized time-dependent inverted harmonic oscillator. As a special case, we consider a generalized inverted oscillator with constant frequency and exponentially increasing mass.

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I. A. Pedrosa, I. Guedes. 2003-07-10. Quantum states of a generalized time-dependent inverted harmonic oscillator. https://doi.org/10.1142/s0217979204024732

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